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The factoredexpressionfor the given expression 3x²+3x-6 is 3(x-1)(x+2).The given expression is 3x²+3x-6.The expression 3x²+3x-6 can befactoredas3x²+6x-3x-6= 3x(x+2)-3(x+2)= (3x-3)(x+2)= 3(x-1)(x+2)Therefore, the factoredexpressionfor the given expression 3x²+3x-6 is 3(x-1)(x+2).To learn more about thefactorisation of polynomialvisit:brainly.com/question/16789195.#SPJ6...